Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pse...Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pseudo-Anosov map with no fixed points.In particular,this shows that the monodromy of a hyperbolic L-space knot is freely isotopic to a map with no fixed points.展开更多
基金The author was partially supported by NSF Grant Number DMS-1811900.
文摘Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pseudo-Anosov map with no fixed points.In particular,this shows that the monodromy of a hyperbolic L-space knot is freely isotopic to a map with no fixed points.
